%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:28 EDT 2022
% Result : Unsatisfiable 0.74s 1.14s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 10:44:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.74/1.14 *** allocated 10000 integers for termspace/termends
% 0.74/1.14 *** allocated 10000 integers for clauses
% 0.74/1.14 *** allocated 10000 integers for justifications
% 0.74/1.14 Bliksem 1.12
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Automatic Strategy Selection
% 0.74/1.14
% 0.74/1.14 Clauses:
% 0.74/1.14 [
% 0.74/1.14 [ product( X, Y, multiply( X, Y ) ) ],
% 0.74/1.14 [ product( identity, X, X ) ],
% 0.74/1.14 [ product( X, identity, X ) ],
% 0.74/1.14 [ product( X, inverse( X ), identity ) ],
% 0.74/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.74/1.14 ) ), product( X, U, W ) ],
% 0.74/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.74/1.14 ) ), product( Z, T, W ) ],
% 0.74/1.14 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.74/1.14 Y, inverse( X ), Z ) ), 'subgroup_member'( Z ) ],
% 0.74/1.14 [ 'subgroup_member'( a ) ],
% 0.74/1.14 [ ~( 'subgroup_member'( inverse( a ) ) ) ]
% 0.74/1.14 ] .
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.14 This is a near-Horn, non-equality problem
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Options Used:
% 0.74/1.14
% 0.74/1.14 useres = 1
% 0.74/1.14 useparamod = 0
% 0.74/1.14 useeqrefl = 0
% 0.74/1.14 useeqfact = 0
% 0.74/1.14 usefactor = 1
% 0.74/1.14 usesimpsplitting = 0
% 0.74/1.14 usesimpdemod = 0
% 0.74/1.14 usesimpres = 4
% 0.74/1.14
% 0.74/1.14 resimpinuse = 1000
% 0.74/1.14 resimpclauses = 20000
% 0.74/1.14 substype = standard
% 0.74/1.14 backwardsubs = 1
% 0.74/1.14 selectoldest = 5
% 0.74/1.14
% 0.74/1.14 litorderings [0] = split
% 0.74/1.14 litorderings [1] = liftord
% 0.74/1.14
% 0.74/1.14 termordering = none
% 0.74/1.14
% 0.74/1.14 litapriori = 1
% 0.74/1.14 termapriori = 0
% 0.74/1.14 litaposteriori = 0
% 0.74/1.14 termaposteriori = 0
% 0.74/1.14 demodaposteriori = 0
% 0.74/1.14 ordereqreflfact = 0
% 0.74/1.14
% 0.74/1.14 litselect = negative
% 0.74/1.14
% 0.74/1.14 maxweight = 30000
% 0.74/1.14 maxdepth = 30000
% 0.74/1.14 maxlength = 115
% 0.74/1.14 maxnrvars = 195
% 0.74/1.14 excuselevel = 0
% 0.74/1.14 increasemaxweight = 0
% 0.74/1.14
% 0.74/1.14 maxselected = 10000000
% 0.74/1.14 maxnrclauses = 10000000
% 0.74/1.14
% 0.74/1.14 showgenerated = 0
% 0.74/1.14 showkept = 0
% 0.74/1.14 showselected = 0
% 0.74/1.14 showdeleted = 0
% 0.74/1.14 showresimp = 1
% 0.74/1.14 showstatus = 2000
% 0.74/1.14
% 0.74/1.14 prologoutput = 1
% 0.74/1.14 nrgoals = 5000000
% 0.74/1.14 totalproof = 1
% 0.74/1.14
% 0.74/1.14 Symbols occurring in the translation:
% 0.74/1.14
% 0.74/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.14 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.14 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.14 multiply [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.74/1.14 product [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.14 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.14 inverse [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.14 'subgroup_member' [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.14 a [53, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Starting Search:
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Bliksems!, er is een bewijs:
% 0.74/1.14 % SZS status Unsatisfiable
% 0.74/1.14 % SZS output start Refutation
% 0.74/1.14
% 0.74/1.14 clause( 1, [ product( identity, X, X ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 6, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 'subgroup_member'( Z ), ~( product( Y, inverse( X ), Z ) ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 7, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 8, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 15, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.74/1.14 product( X, inverse( X ), Y ) ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 17, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) ) ]
% 0.74/1.14 )
% 0.74/1.14 .
% 0.74/1.14 clause( 19, [ 'subgroup_member'( identity ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 44, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 0.74/1.14 ) ] )
% 0.74/1.14 .
% 0.74/1.14 clause( 49, [] )
% 0.74/1.14 .
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 % SZS output end Refutation
% 0.74/1.14 found a proof!
% 0.74/1.14
% 0.74/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.14
% 0.74/1.14 initialclauses(
% 0.74/1.14 [ clause( 51, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.14 , clause( 52, [ product( identity, X, X ) ] )
% 0.74/1.14 , clause( 53, [ product( X, identity, X ) ] )
% 0.74/1.14 , clause( 54, [ product( X, inverse( X ), identity ) ] )
% 0.74/1.14 , clause( 55, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.14 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.14 , clause( 56, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.14 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.14 , clause( 57, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 ~( product( Y, inverse( X ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.74/1.14 , clause( 58, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 , clause( 59, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.74/1.14 ] ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 1, [ product( identity, X, X ) ] )
% 0.74/1.14 , clause( 52, [ product( identity, X, X ) ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.74/1.14 , clause( 54, [ product( X, inverse( X ), identity ) ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 6, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 'subgroup_member'( Z ), ~( product( Y, inverse( X ), Z ) ) ] )
% 0.74/1.14 , clause( 57, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 ~( product( Y, inverse( X ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.74/1.14 ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 7, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 , clause( 58, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 8, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.74/1.14 , clause( 59, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.74/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 factor(
% 0.74/1.14 clause( 87, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.74/1.14 product( X, inverse( X ), Y ) ) ] )
% 0.74/1.14 , clause( 6, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 'subgroup_member'( Z ), ~( product( Y, inverse( X ), Z ) ) ] )
% 0.74/1.14 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 15, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.74/1.14 product( X, inverse( X ), Y ) ) ] )
% 0.74/1.14 , clause( 87, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.74/1.14 product( X, inverse( X ), Y ) ) ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.14 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 88, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.74/1.14 )
% 0.74/1.14 , clause( 15, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.74/1.14 product( X, inverse( X ), Y ) ) ] )
% 0.74/1.14 , 2, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.74/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 0.74/1.14 , [ :=( X, X )] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 17, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) ) ]
% 0.74/1.14 )
% 0.74/1.14 , clause( 88, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.74/1.14 ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.14 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 89, [ 'subgroup_member'( identity ) ] )
% 0.74/1.14 , clause( 17, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) )
% 0.74/1.14 ] )
% 0.74/1.14 , 1, clause( 7, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 19, [ 'subgroup_member'( identity ) ] )
% 0.74/1.14 , clause( 89, [ 'subgroup_member'( identity ) ] )
% 0.74/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 90, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( identity )
% 0.74/1.14 ), 'subgroup_member'( inverse( X ) ) ] )
% 0.74/1.14 , clause( 6, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.74/1.14 'subgroup_member'( Z ), ~( product( Y, inverse( X ), Z ) ) ] )
% 0.74/1.14 , 3, clause( 1, [ product( identity, X, X ) ] )
% 0.74/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, inverse( X )
% 0.74/1.14 )] ), substitution( 1, [ :=( X, inverse( X ) )] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 93, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 0.74/1.14 ) ] )
% 0.74/1.14 , clause( 90, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( identity
% 0.74/1.14 ) ), 'subgroup_member'( inverse( X ) ) ] )
% 0.74/1.14 , 1, clause( 19, [ 'subgroup_member'( identity ) ] )
% 0.74/1.14 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 44, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 0.74/1.14 ) ] )
% 0.74/1.14 , clause( 93, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X
% 0.74/1.14 ) ) ] )
% 0.74/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.14 0 )] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 94, [ 'subgroup_member'( inverse( a ) ) ] )
% 0.74/1.14 , clause( 44, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X
% 0.74/1.14 ) ) ] )
% 0.74/1.14 , 1, clause( 7, [ 'subgroup_member'( a ) ] )
% 0.74/1.14 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 resolution(
% 0.74/1.14 clause( 95, [] )
% 0.74/1.14 , clause( 8, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.74/1.14 , 0, clause( 94, [ 'subgroup_member'( inverse( a ) ) ] )
% 0.74/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 subsumption(
% 0.74/1.14 clause( 49, [] )
% 0.74/1.14 , clause( 95, [] )
% 0.74/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 end.
% 0.74/1.14
% 0.74/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.14
% 0.74/1.14 Memory use:
% 0.74/1.14
% 0.74/1.14 space for terms: 713
% 0.74/1.14 space for clauses: 2775
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 clauses generated: 72
% 0.74/1.14 clauses kept: 50
% 0.74/1.14 clauses selected: 20
% 0.74/1.14 clauses deleted: 2
% 0.74/1.14 clauses inuse deleted: 0
% 0.74/1.14
% 0.74/1.14 subsentry: 184
% 0.74/1.14 literals s-matched: 63
% 0.74/1.14 literals matched: 49
% 0.74/1.14 full subsumption: 22
% 0.74/1.14
% 0.74/1.14 checksum: 318408638
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Bliksem ended
%------------------------------------------------------------------------------